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Spectral problems for parabolic equations with conditions of conjugation and dynamical boundary conditions. (English) Zbl 1061.35056

A generalized Sturm-Liouville problem with Dirac distribution involved in the coefficient at the right hand side is studied. The corresponding eigenvalues and eigenfunctions are determined for different types of boundary conditions.

MSC:

35P05 General topics in linear spectral theory for PDEs
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)